Suppose that Q is a matrix with the property Q-1 = QT. Show that qij = Qij

Question:

Suppose that Q is a matrix with the property Q-1 = QT. Show that
qij = Qij / det(Q)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

See More Books

Question Posted: Jun 13, 2016 12:48 AM

See More Questions

Let A be a real 2 Ã 2 matrix with the property that a21a12 > 0, and let Compute B = SAS-1. What can you conclude about the eigenvalues and eigenvectors of B? What can you conclude about the...
We can show that, for an n n stochastic matrix, 1 = l is an eigenvalue and the remaining eigenvalues must satisfy |j| 1 j = 2,..., n Show that if A is an n n stochastic matrix with the property...
Suppose A is an m ( n matrix with the property that for all b in the equation Ax = b has at most one solution. Use the definition of linear independence to explain why the columns of A must be...
Consider the modules diagram in question 17. Suppose we want the code in module com.sf to depend on code in module com.ny. Which of the following directives goes into module com.nys module-info file...
If the president of a bank told you that the bank was so well run that it has never had to call in loans, sell securities, or borrow as a result of a deposit outflow, would you be willing to buy...
Would you give the guests any other compensation?
In Figure 13-37, the package on the left contains the classes in a payroll system. The package on the right is a payroll tax subsystem. What technique would you use to integrate the payroll tax...
The Baily Hill Bicycle Shop sells mountain bikes and offers a maintenance program to its customers. The manager has found the average repair bill during the maintenance programs first year to be...
PT. 4 Selected comparative financial statements of Korbin Company follow. KORBIN COMPANY Comparative Income Statements For Years Ended December 31, 2019, 2018, and 2017 2019 2018 2017 Sales $ 534,956...
Hertz Corporation is incorporated in the state of Delaware and has its headquarters in the state of New Jersey. Melinda Friend, a California citizen, sued the Hertz Corporation in California state...
Show that if det(A) = I then adj (adj A) = A
Let A be a nonsingular n n matrix with n > 1. Show that det(adj A) = (det(A))n-1
The fact that the body does not normally mount an immune response to the molecules in food is an example of _______. a. Secondary immune response b. Immunological memory c. Immune tolerance d....
226 Payroll Accounting Chapter 7: Comprehensive Projects-Paper-Based Versions One-Month Project NOTE! Templates needed to complete these exercises, including one containing year-to-date payroll data,...
The Westchester Chamber of Commerce periodically sponsors public service seminars and programs Currently, promotional plans ore under way for this year's program Advertising alternatives include...
Mastery Problem: Activity-Based Costing WoolCorp WoolCorp buys sheep's wool from farmers. The company began operations in January of this year, and is making decisions on product offerings, pricing,...
The following system of linear equations is called underdetermined because there are more variables than equations. x2x 3x3 = 4 2x1x2 + 4x3 = -3 Similarly, the following system is overdetermined...
Write a 2000-word Reflection paper on " Country Managers Simulation by considering the following points: Countries chosen during the simulation were Argentina and Brazil: 1. Explain why you did what...
Why are dipoledipole forces typically stronger than dispersion forces?
At the beginning of the year, Lam Ltd. had total assets of $800,000 and total liabilities of $500,000. Use this information to answer each of the following independent questions. (a) If Lam's total...
Use the method of Exercise 2 to determine whether the matrix is diagonalizable. 0 021
Find the characteristic equation of the given symmetric matrix, and then by inspection determine the dimensions of the eigenspaces. a. b. c. 2 2 4400 4400
Use the result in Exercise 17 of Section 7.1 to prove Theorem 7.3.2a for 2 2 symmetric.
Assume the market portfolio of common stocks earned 14.1 percent in one year while U.S. Treasury bills earned 4.4 percent and inflation averaged 4.6 percent. What was the market risk premium?
A bank quotes you an interest rate of 9 . 5 % per annum with quarterly compounding. What is the equivalent rate with continuous compounding?
Using automation tools leads to dislike 5 9 . How do the mechanical properties of woven fabric composites compare to those of unidirectional composites? Provide examples of applications for each type.

Suppose that Q is a matrix with the property Q-1 = QT. Show that qij = Qij

Question:

Step by Step Answer:

The j i entry of Q T is ...View the full answer

Linear Algebra with Applications

Students also viewed these Linear Algebra questions